Isotope inverse effect

VISCOSITY INULINASE INULOSUCRASE INVERSE ISOTOPE EFFECT KINETIC ISOTOPE EFFECT Inversion of configuration,... 

Isokinetic relationship, 261, 368 Isokinetic temperature, 368 Isolation technique, 26, 78 Isotope effects inverse, 299 kinetic, 292 primaiy, 293, 295 secondaiy, 298 solvent, 272, 300 Isotopic exchange, 300 Isotopic substitution, 6... 

Isotopic substitution Bond Regular isotope effect Inverse isotope effect... 

An inverse isotope effect will occur if coordination at the reaction center increases in the transition state. The bending vibration will become more restricted. Entry 4 in Scheme 4.2 exenqilifies such a case involving conversion of a tricoordinate carbonyl group to a letravalent cyanohydrin. In this case the secondary isotope effect is 0.73. 

The details of proton-transfer processes can also be probed by examination of solvent isotope effects, for example, by comparing the rates of a reaction in H2O versus D2O. The solvent isotope effect can be either normal or inverse, depending on the nature of the proton-transfer process in the reaction mechanism. D3O+ is a stronger acid than H3O+. As a result, reactants in D2O solution are somewhat more extensively protonated than in H2O at identical acid concentration. A reaction that involves a rapid equilibrium protonation will proceed faster in D2O than in H2O because of the higher concentration of the protonated reactant. On the other hand, if proton transfer is part of the rate-determining step, the reaction will be faster in H2O than in D2O because of the normal primary kinetic isotope effect of the type considered in Section 4.5. 

Predict whether normal or inverse isotope effects will be observed for each reaction below. Explain. Indicate any reactions in which you would expect > 2. The isotopically substituted hydrogens are marked with asterisks. 

Values of kH olki3. o tend to fall in the range 0.5 to 6. The direction of the effect, whether normal or inverse, can often be accounted for by combining a model of the transition state with vibrational frequencies, although quantitative calculation is not reliable. Because of the difficulty in applying rigorous theory to the solvent isotope effect, a phenomenological approach has been developed. We define <[), to be the ratio of D to H in site 1 of a reactant relative to the ratio of D to H in a solvent site. That is. 

The secondary isotope effects come out to be inverse, as they should be483, and likewise have a value of about 12 % per atom484. If these effects are neglected,... 

Since the rate was independent of acidity even over the range where H0 and pH differ, and the concentration of free amine is inversely proportional to the acidity function it follows that the rate of substitution is proportional to h0. If the substitution rate was proportional to [H30+] then a decrease in rate by a factor of 17 should be observed on changing [H+] from 0.05 to 6.0. This was not observed and the discrepancy is not a salt effect since chloride ion had no effect. Thus the rate of proton transfer from the medium depends on the acidity function, yet the mechanism of the reaction (confirmed by the isotope effect studies) is A-SE2, so that again correlation of rate with acidity function is not a satisfactory criterion of the A-l mechanism. 

Kezdy-Swinboume method, 26-27 Kinetic element effect, 110-111 Kinetic isotope effects (kie), 214-219 inverse, 217... 

The molecules most profitably studied in connection with purely steric isotope effects have been isotopically substituted biphenyl derivatives. Mislow et al. (1964) reported the first more or less clearcut example of this kind in the isotope effect in the configurational inversion of optically active 9,10-dihydro-4,5-dimethylphenanthrene (7), for which an isotopic rate ratio ( d/ h) of 1-17 at 295-2°K in benzene solution was determined. The detailed conformation of the transition state is not certain in this case, as it involves the mutual passage of two methyl groups, and thus it is difficult to compare the experimental results with... 

H H non-bonded interactions are of great importance in organic compoimds, and thus it was of interest to attempt to investigate H H non-bonded potential functions via the determination of a steric isotope effect in the configurational inversion of an unsubstituted biaryl. In view of the extensive work of Harris and her co-workers in the 1,1 -binaphthyl series (see, for example, Badar et al., 1965 Cooke and Harris, 1963), and since the parent compound is one of the simplest hydrocarbons that may be obtained in enantiomeric forms, the determination of the isotope effect in the inversion of l,l -binaphthyl-2,2 -d2 (9) was... 

Apart from a few studies (ref. 7), the use of deuterium kinetic isotope effects (kie s) appears to have had limited use in mechanistic studies of electrophilic bromination of olefins. Secondary alpha D-kie s have been reported for two cases, trans-stilbene fi and p-substituted a-d-styrenes 2, these giving relatively small inverse kie s of... 

The kinetic isotope effect of the protonation h/ d = 3.9 suggests that an in-nitrogen atom is protonated directly rather than conformational changes exposing the lone pair of a nitrogen atom to the outside prior to protonation. It is assumed that a protonated nitrogen does not invert. Inversion is only possible by a deprotonation-inversion-reprotonation sequence (Kjaer etal., 1979). 

The oxidations of formic acid by Co(III) and V(V) are straightforward, being first-order with respect to both oxidant and substrate and acid-inverse and slightly acid-catalysed respectively. The primary kinetic isotope effects are l.Sj (25°C)forCo(IU)and4.1 (61.5 C°)for V(V). The low value for Co(lII) is analogous to those for Co(IIl) oxidations of secondary alcohols, formaldehyde and m-nitrobenzaldehyde vide supra). A djo/ h20 for the Co(III) oxidation is about 1.0, which is curiously high for an acid-inverse reaction . The mechanisms clearly parallel those for oxidation of alcohols (p. 376) where Rj and R2 become doubly bonded oxygen. 

Product analysis by NMR indicated an isotope effect at 118°C of = 2.14, corrected for numbers of H versus D. On lowering the temperature to -12°C, however, it was found that the isotope effect increased to 3.25. Referring to earlier experimental results on the C-H shift in methylchlorocarbene, " the authors cited the normal temperature dependence of the isotope effect as evidence against tunneling in 64. In retrospect, however, as noted above, theoretical support for an atypical inverse temperature dependence in methylchlorocarbene has been refuted. Hence, the involvement of tunneling in 62/64 at ambient temperatures is still an open question. 

F. Kinetic Isotope Effect. One of the more important observations regarding the cobalt-based homogeneous CO hydrogenation system is that the substitution of gaseous deuterium for gaseous hydrogen causes an inverse (i.e. kflkinetic isotope effect, kj T2)/kH(2)= 0.73 at 180° in p-dioxane (13b). Because... 

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